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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 390, Pages 299–306 (Mi znsl4555)  
This article is cited in 10 scientific papers (total in 10 papers)

An improvement of the complexity bound for solving systems of polynomial equations

A. L. Chistov

St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (202 kB) Citations (10)
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Abstract: In 1984 the author suggested an algorithm for solving systems of polynomial equations. At present we modify it and improve bounds for its complexity, degrees and lengths of coefficients from the ground field of the elements constructed by this algorithm.
Key words and phrases: polynomial systems, efficient algorithm, algebraic varieties, irreducible components.
Received: 21.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 181, Issue 6, Pages 921–924
DOI: https://doi.org/10.1007/s10958-012-0724-4
Bibliographic databases:
Document Type: Article
UDC: 518.5+513.6
Language: English
Citation: A. L. Chistov, “An improvement of the complexity bound for solving systems of polynomial equations”, Representation theory, dynamical systems, combinatorial methods. Part XX, Zap. Nauchn. Sem. POMI, 390, POMI, St. Petersburg, 2011, 299–306; J. Math. Sci. (N. Y.), 181:6 (2012), 921–924
Citation in format AMSBIB
\Bibitem{Chi11}
\by A.~L.~Chistov
\paper An improvement of the complexity bound for solving systems of polynomial equations
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 390
\pages 299--306
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4555}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 181
\issue 6
\pages 921--924
\crossref{https://doi.org/10.1007/s10958-012-0724-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858746578}
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  • https://www.mathnet.ru/eng/znsl/v390/p299
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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